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Finding the Fourth Proportional to 657,070.80, 983,419.20 and 476,643.30

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Solution

The fourth proportional to 657,070.80, 983,419.20 and 476,643.30 is: 713,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,070.80 : 983,419.20 = 476,643.30 : x
  2. Step 2: Convert to fraction form
    657,070.80/983,419.20 = 476,643.30/x
  3. Step 3: Cross multiply
    657,070.80x = 983,419.20 × 476,643.30
  4. Step 4: Simplify right side
    657,070.80x = 468,740,172,771.36
  5. Step 5: Solve for x
    x = 468,740,172,771.36/657,070.80
  6. Step 6: Final answer
    x = 713,378.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.