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Finding the Fourth Proportional to 287,368.88, 430,853.28 and 127,358

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Solution

The fourth proportional to 287,368.88, 430,853.28 and 127,358 is: 190,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,368.88 : 430,853.28 = 127,358 : x
  2. Step 2: Convert to fraction form
    287,368.88/430,853.28 = 127,358/x
  3. Step 3: Cross multiply
    287,368.88x = 430,853.28 × 127,358
  4. Step 4: Simplify right side
    287,368.88x = 54,872,612,034.24
  5. Step 5: Solve for x
    x = 54,872,612,034.24/287,368.88
  6. Step 6: Final answer
    x = 190,948.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.