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Finding the Fourth Proportional to 514,064.80, 708,911.76 and 400,846.24

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Solution

The fourth proportional to 514,064.80, 708,911.76 and 400,846.24 is: 552,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,064.80 : 708,911.76 = 400,846.24 : x
  2. Step 2: Convert to fraction form
    514,064.80/708,911.76 = 400,846.24/x
  3. Step 3: Cross multiply
    514,064.80x = 708,911.76 × 400,846.24
  4. Step 4: Simplify right side
    514,064.80x = 284,164,613,487.78
  5. Step 5: Solve for x
    x = 284,164,613,487.78/514,064.80
  6. Step 6: Final answer
    x = 552,779.75

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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.