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Finding the Fourth Proportional to 709,040.68, 978,301.20 and 433,328.20

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Solution

The fourth proportional to 709,040.68, 978,301.20 and 433,328.20 is: 597,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,040.68 : 978,301.20 = 433,328.20 : x
  2. Step 2: Convert to fraction form
    709,040.68/978,301.20 = 433,328.20/x
  3. Step 3: Cross multiply
    709,040.68x = 978,301.20 × 433,328.20
  4. Step 4: Simplify right side
    709,040.68x = 423,925,498,053.84
  5. Step 5: Solve for x
    x = 423,925,498,053.84/709,040.68
  6. Step 6: Final answer
    x = 597,886.00

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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.