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Finding the Fourth Proportional to 549,648.28, 758,342.46 and 307,898.20

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Solution

The fourth proportional to 549,648.28, 758,342.46 and 307,898.20 is: 424,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,648.28 : 758,342.46 = 307,898.20 : x
  2. Step 2: Convert to fraction form
    549,648.28/758,342.46 = 307,898.20/x
  3. Step 3: Cross multiply
    549,648.28x = 758,342.46 × 307,898.20
  4. Step 4: Simplify right side
    549,648.28x = 233,492,278,417.57
  5. Step 5: Solve for x
    x = 233,492,278,417.57/549,648.28
  6. Step 6: Final answer
    x = 424,803.07

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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.