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Finding the Fourth Proportional to 652,205.40, 978,308.10 and 604,966.20

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Solution

The fourth proportional to 652,205.40, 978,308.10 and 604,966.20 is: 907,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,205.40 : 978,308.10 = 604,966.20 : x
  2. Step 2: Convert to fraction form
    652,205.40/978,308.10 = 604,966.20/x
  3. Step 3: Cross multiply
    652,205.40x = 978,308.10 × 604,966.20
  4. Step 4: Simplify right side
    652,205.40x = 591,843,333,686.22
  5. Step 5: Solve for x
    x = 591,843,333,686.22/652,205.40
  6. Step 6: Final answer
    x = 907,449.30

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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.