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Finding the Fourth Proportional to 708,679.71, 977,949.81 and 418,384.80

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Solution

The fourth proportional to 708,679.71, 977,949.81 and 418,384.80 is: 577,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,679.71 : 977,949.81 = 418,384.80 : x
  2. Step 2: Convert to fraction form
    708,679.71/977,949.81 = 418,384.80/x
  3. Step 3: Cross multiply
    708,679.71x = 977,949.81 × 418,384.80
  4. Step 4: Simplify right side
    708,679.71x = 409,159,335,666.89
  5. Step 5: Solve for x
    x = 409,159,335,666.89/708,679.71
  6. Step 6: Final answer
    x = 577,354.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.