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Finding the Fourth Proportional to 525,830.40, 788,745.60 and 146,750.40

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Solution

The fourth proportional to 525,830.40, 788,745.60 and 146,750.40 is: 220,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,830.40 : 788,745.60 = 146,750.40 : x
  2. Step 2: Convert to fraction form
    525,830.40/788,745.60 = 146,750.40/x
  3. Step 3: Cross multiply
    525,830.40x = 788,745.60 × 146,750.40
  4. Step 4: Simplify right side
    525,830.40x = 115,748,732,298.24
  5. Step 5: Solve for x
    x = 115,748,732,298.24/525,830.40
  6. Step 6: Final answer
    x = 220,125.60

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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.