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Finding the Fourth Proportional to 709,041.24, 978,488.40 and 386,751.24

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Solution

The fourth proportional to 709,041.24, 978,488.40 and 386,751.24 is: 533,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,041.24 : 978,488.40 = 386,751.24 : x
  2. Step 2: Convert to fraction form
    709,041.24/978,488.40 = 386,751.24/x
  3. Step 3: Cross multiply
    709,041.24x = 978,488.40 × 386,751.24
  4. Step 4: Simplify right side
    709,041.24x = 378,431,602,025.62
  5. Step 5: Solve for x
    x = 378,431,602,025.62/709,041.24
  6. Step 6: Final answer
    x = 533,722.98

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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.