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Finding the Fourth Proportional to 709,322.16, 978,862.50 and 387,030

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Solution

The fourth proportional to 709,322.16, 978,862.50 and 387,030 is: 534,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,322.16 : 978,862.50 = 387,030 : x
  2. Step 2: Convert to fraction form
    709,322.16/978,862.50 = 387,030/x
  3. Step 3: Cross multiply
    709,322.16x = 978,862.50 × 387,030
  4. Step 4: Simplify right side
    709,322.16x = 378,849,153,375
  5. Step 5: Solve for x
    x = 378,849,153,375/709,322.16
  6. Step 6: Final answer
    x = 534,100.26

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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.