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Finding the Fourth Proportional to 514,056.80, 708,900.72 and 400,838.24

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Solution

The fourth proportional to 514,056.80, 708,900.72 and 400,838.24 is: 552,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,056.80 : 708,900.72 = 400,838.24 : x
  2. Step 2: Convert to fraction form
    514,056.80/708,900.72 = 400,838.24/x
  3. Step 3: Cross multiply
    514,056.80x = 708,900.72 × 400,838.24
  4. Step 4: Simplify right side
    514,056.80x = 284,154,516,939.53
  5. Step 5: Solve for x
    x = 284,154,516,939.53/514,056.80
  6. Step 6: Final answer
    x = 552,768.72

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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.