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Finding the Fourth Proportional to 343,057.90, 514,547.90 and 90,358.16

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Solution

The fourth proportional to 343,057.90, 514,547.90 and 90,358.16 is: 135,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,057.90 : 514,547.90 = 90,358.16 : x
  2. Step 2: Convert to fraction form
    343,057.90/514,547.90 = 90,358.16/x
  3. Step 3: Cross multiply
    343,057.90x = 514,547.90 × 90,358.16
  4. Step 4: Simplify right side
    343,057.90x = 46,493,601,475.86
  5. Step 5: Solve for x
    x = 46,493,601,475.86/343,057.90
  6. Step 6: Final answer
    x = 135,526.98

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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.