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Finding the Fourth Proportional to 614,424.30, 847,909.71 and 342,509.46

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Solution

The fourth proportional to 614,424.30, 847,909.71 and 342,509.46 is: 472,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,424.30 : 847,909.71 = 342,509.46 : x
  2. Step 2: Convert to fraction form
    614,424.30/847,909.71 = 342,509.46/x
  3. Step 3: Cross multiply
    614,424.30x = 847,909.71 × 342,509.46
  4. Step 4: Simplify right side
    614,424.30x = 290,417,096,900.86
  5. Step 5: Solve for x
    x = 290,417,096,900.86/614,424.30
  6. Step 6: Final answer
    x = 472,665.38

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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.