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Finding the Fourth Proportional to 565,421.18, 780,287.24 and 307,298.14

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Solution

The fourth proportional to 565,421.18, 780,287.24 and 307,298.14 is: 424,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,421.18 : 780,287.24 = 307,298.14 : x
  2. Step 2: Convert to fraction form
    565,421.18/780,287.24 = 307,298.14/x
  3. Step 3: Cross multiply
    565,421.18x = 780,287.24 × 307,298.14
  4. Step 4: Simplify right side
    565,421.18x = 239,780,816,335.26
  5. Step 5: Solve for x
    x = 239,780,816,335.26/565,421.18
  6. Step 6: Final answer
    x = 424,074.70

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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.