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Finding the Fourth Proportional to 652,391.64, 900,302.10 and 380,646.36

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Solution

The fourth proportional to 652,391.64, 900,302.10 and 380,646.36 is: 525,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,391.64 : 900,302.10 = 380,646.36 : x
  2. Step 2: Convert to fraction form
    652,391.64/900,302.10 = 380,646.36/x
  3. Step 3: Cross multiply
    652,391.64x = 900,302.10 × 380,646.36
  4. Step 4: Simplify right side
    652,391.64x = 342,696,717,265.36
  5. Step 5: Solve for x
    x = 342,696,717,265.36/652,391.64
  6. Step 6: Final answer
    x = 525,292.93

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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.