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Finding the Fourth Proportional to 514,756.16, 772,123.30 and 140,779.16

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Solution

The fourth proportional to 514,756.16, 772,123.30 and 140,779.16 is: 211,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,756.16 : 772,123.30 = 140,779.16 : x
  2. Step 2: Convert to fraction form
    514,756.16/772,123.30 = 140,779.16/x
  3. Step 3: Cross multiply
    514,756.16x = 772,123.30 × 140,779.16
  4. Step 4: Simplify right side
    514,756.16x = 108,698,865,377.86
  5. Step 5: Solve for x
    x = 108,698,865,377.86/514,756.16
  6. Step 6: Final answer
    x = 211,165.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.