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Finding the Fourth Proportional to 709,032.80, 978,290.16 and 433,320.32

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Solution

The fourth proportional to 709,032.80, 978,290.16 and 433,320.32 is: 597,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,032.80 : 978,290.16 = 433,320.32 : x
  2. Step 2: Convert to fraction form
    709,032.80/978,290.16 = 433,320.32/x
  3. Step 3: Cross multiply
    709,032.80x = 978,290.16 × 433,320.32
  4. Step 4: Simplify right side
    709,032.80x = 423,913,005,184.05
  5. Step 5: Solve for x
    x = 423,913,005,184.05/709,032.80
  6. Step 6: Final answer
    x = 597,875.03

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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.