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Finding the Fourth Proportional to 472,430.96, 651,958.54 and 257,572.58

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Solution

The fourth proportional to 472,430.96, 651,958.54 and 257,572.58 is: 355,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,430.96 : 651,958.54 = 257,572.58 : x
  2. Step 2: Convert to fraction form
    472,430.96/651,958.54 = 257,572.58/x
  3. Step 3: Cross multiply
    472,430.96x = 651,958.54 × 257,572.58
  4. Step 4: Simplify right side
    472,430.96x = 167,926,643,200.83
  5. Step 5: Solve for x
    x = 167,926,643,200.83/472,430.96
  6. Step 6: Final answer
    x = 355,452.24

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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.