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Finding the Fourth Proportional to 709,041.68, 978,302.58 and 433,329.20

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Solution

The fourth proportional to 709,041.68, 978,302.58 and 433,329.20 is: 597,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,041.68 : 978,302.58 = 433,329.20 : x
  2. Step 2: Convert to fraction form
    709,041.68/978,302.58 = 433,329.20/x
  3. Step 3: Cross multiply
    709,041.68x = 978,302.58 × 433,329.20
  4. Step 4: Simplify right side
    709,041.68x = 423,927,074,349.34
  5. Step 5: Solve for x
    x = 423,927,074,349.34/709,041.68
  6. Step 6: Final answer
    x = 597,887.38

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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.