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Finding the Fourth Proportional to 495,147,071.80, 742,720,607.70 and 265,564,559.80

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Solution

The fourth proportional to 495,147,071.80, 742,720,607.70 and 265,564,559.80 is: 398,346,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,147,071.80 : 742,720,607.70 = 265,564,559.80 : x
  2. Step 2: Convert to fraction form
    495,147,071.80/742,720,607.70 = 265,564,559.80/x
  3. Step 3: Cross multiply
    495,147,071.80x = 742,720,607.70 × 265,564,559.80
  4. Step 4: Simplify right side
    495,147,071.80x = 197,240,271,238,239,008
  5. Step 5: Solve for x
    x = 197,240,271,238,239,008/495,147,071.80
  6. Step 6: Final answer
    x = 398,346,839.70

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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.