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Finding the Fourth Proportional to 707,557.68, 977,384.88 and 565,315.20

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Solution

The fourth proportional to 707,557.68, 977,384.88 and 565,315.20 is: 780,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,557.68 : 977,384.88 = 565,315.20 : x
  2. Step 2: Convert to fraction form
    707,557.68/977,384.88 = 565,315.20/x
  3. Step 3: Cross multiply
    707,557.68x = 977,384.88 × 565,315.20
  4. Step 4: Simplify right side
    707,557.68x = 552,530,528,914.18
  5. Step 5: Solve for x
    x = 552,530,528,914.18/707,557.68
  6. Step 6: Final answer
    x = 780,898.21

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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.