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Finding the Fourth Proportional to 409,773,668.80, 614,943,938.40 and 294,840,695.20

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Solution

The fourth proportional to 409,773,668.80, 614,943,938.40 and 294,840,695.20 is: 442,464,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,773,668.80 : 614,943,938.40 = 294,840,695.20 : x
  2. Step 2: Convert to fraction form
    409,773,668.80/614,943,938.40 = 294,840,695.20/x
  3. Step 3: Cross multiply
    409,773,668.80x = 614,943,938.40 × 294,840,695.20
  4. Step 4: Simplify right side
    409,773,668.80x = 181,310,498,306,881,952
  5. Step 5: Solve for x
    x = 181,310,498,306,881,952/409,773,668.80
  6. Step 6: Final answer
    x = 442,464,980.33

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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.