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Finding the Fourth Proportional to 708,045.70, 978,345.93 and 565,978.18

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Solution

The fourth proportional to 708,045.70, 978,345.93 and 565,978.18 is: 782,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,045.70 : 978,345.93 = 565,978.18 : x
  2. Step 2: Convert to fraction form
    708,045.70/978,345.93 = 565,978.18/x
  3. Step 3: Cross multiply
    708,045.70x = 978,345.93 × 565,978.18
  4. Step 4: Simplify right side
    708,045.70x = 553,722,448,871.81
  5. Step 5: Solve for x
    x = 553,722,448,871.81/708,045.70
  6. Step 6: Final answer
    x = 782,043.37

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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.