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Finding the Fourth Proportional to 660,301,805.40, 988,101,245.70 and 574,977,312.60

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Solution

The fourth proportional to 660,301,805.40, 988,101,245.70 and 574,977,312.60 is: 860,418,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,301,805.40 : 988,101,245.70 = 574,977,312.60 : x
  2. Step 2: Convert to fraction form
    660,301,805.40/988,101,245.70 = 574,977,312.60/x
  3. Step 3: Cross multiply
    660,301,805.40x = 988,101,245.70 × 574,977,312.60
  4. Step 4: Simplify right side
    660,301,805.40x = 568,135,798,829,298,368
  5. Step 5: Solve for x
    x = 568,135,798,829,298,368/660,301,805.40
  6. Step 6: Final answer
    x = 860,418,363.52

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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.