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Finding the Fourth Proportional to 313,560, 432,712.80 and 172,248

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Solution

The fourth proportional to 313,560, 432,712.80 and 172,248 is: 237,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,560 : 432,712.80 = 172,248 : x
  2. Step 2: Convert to fraction form
    313,560/432,712.80 = 172,248/x
  3. Step 3: Cross multiply
    313,560x = 432,712.80 × 172,248
  4. Step 4: Simplify right side
    313,560x = 74,533,914,374.40
  5. Step 5: Solve for x
    x = 74,533,914,374.40/313,560
  6. Step 6: Final answer
    x = 237,702.24

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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.