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Finding the Fourth Proportional to 472,319.74, 651,788.26 and 257,464

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Solution

The fourth proportional to 472,319.74, 651,788.26 and 257,464 is: 355,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,319.74 : 651,788.26 = 257,464 : x
  2. Step 2: Convert to fraction form
    472,319.74/651,788.26 = 257,464/x
  3. Step 3: Cross multiply
    472,319.74x = 651,788.26 × 257,464
  4. Step 4: Simplify right side
    472,319.74x = 167,812,012,572.64
  5. Step 5: Solve for x
    x = 167,812,012,572.64/472,319.74
  6. Step 6: Final answer
    x = 355,293.24

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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.