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Finding the Fourth Proportional to 488,628,686.40, 732,943,029.60 and 294,759,009.60

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Solution

The fourth proportional to 488,628,686.40, 732,943,029.60 and 294,759,009.60 is: 442,138,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,628,686.40 : 732,943,029.60 = 294,759,009.60 : x
  2. Step 2: Convert to fraction form
    488,628,686.40/732,943,029.60 = 294,759,009.60/x
  3. Step 3: Cross multiply
    488,628,686.40x = 732,943,029.60 × 294,759,009.60
  4. Step 4: Simplify right side
    488,628,686.40x = 216,041,561,498,119,520
  5. Step 5: Solve for x
    x = 216,041,561,498,119,520/488,628,686.40
  6. Step 6: Final answer
    x = 442,138,514.40

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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.