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Finding the Fourth Proportional to 514,772.32, 710,392.80 and 288,412.96

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Solution

The fourth proportional to 514,772.32, 710,392.80 and 288,412.96 is: 398,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,772.32 : 710,392.80 = 288,412.96 : x
  2. Step 2: Convert to fraction form
    514,772.32/710,392.80 = 288,412.96/x
  3. Step 3: Cross multiply
    514,772.32x = 710,392.80 × 288,412.96
  4. Step 4: Simplify right side
    514,772.32x = 204,886,490,210.69
  5. Step 5: Solve for x
    x = 204,886,490,210.69/514,772.32
  6. Step 6: Final answer
    x = 398,013.81

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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.