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Finding the Fourth Proportional to 458,572, 632,829.36 and 257,368

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Solution

The fourth proportional to 458,572, 632,829.36 and 257,368 is: 355,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,572 : 632,829.36 = 257,368 : x
  2. Step 2: Convert to fraction form
    458,572/632,829.36 = 257,368/x
  3. Step 3: Cross multiply
    458,572x = 632,829.36 × 257,368
  4. Step 4: Simplify right side
    458,572x = 162,870,026,724.48
  5. Step 5: Solve for x
    x = 162,870,026,724.48/458,572
  6. Step 6: Final answer
    x = 355,167.84

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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.