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Finding the Fourth Proportional to 307,420.30, 461,130.45 and 97,030.90

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Solution

The fourth proportional to 307,420.30, 461,130.45 and 97,030.90 is: 145,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,420.30 : 461,130.45 = 97,030.90 : x
  2. Step 2: Convert to fraction form
    307,420.30/461,130.45 = 97,030.90/x
  3. Step 3: Cross multiply
    307,420.30x = 461,130.45 × 97,030.90
  4. Step 4: Simplify right side
    307,420.30x = 44,743,902,580.91
  5. Step 5: Solve for x
    x = 44,743,902,580.91/307,420.30
  6. Step 6: Final answer
    x = 145,546.35

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1.5x scale

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.