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Finding the Fourth Proportional to 767,339,985.60, 1,151,009,978.40 and 282,854,750.40

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Solution

The fourth proportional to 767,339,985.60, 1,151,009,978.40 and 282,854,750.40 is: 424,282,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,339,985.60 : 1,151,009,978.40 = 282,854,750.40 : x
  2. Step 2: Convert to fraction form
    767,339,985.60/1,151,009,978.40 = 282,854,750.40/x
  3. Step 3: Cross multiply
    767,339,985.60x = 1,151,009,978.40 × 282,854,750.40
  4. Step 4: Simplify right side
    767,339,985.60x = 325,568,640,148,241,408
  5. Step 5: Solve for x
    x = 325,568,640,148,241,408/767,339,985.60
  6. Step 6: Final answer
    x = 424,282,125.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.