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Finding the Fourth Proportional to 495,362,807.40, 742,406,481.90 and 379,774,389.90

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Solution

The fourth proportional to 495,362,807.40, 742,406,481.90 and 379,774,389.90 is: 569,172,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,362,807.40 : 742,406,481.90 = 379,774,389.90 : x
  2. Step 2: Convert to fraction form
    495,362,807.40/742,406,481.90 = 379,774,389.90/x
  3. Step 3: Cross multiply
    495,362,807.40x = 742,406,481.90 × 379,774,389.90
  4. Step 4: Simplify right side
    495,362,807.40x = 281,946,968,721,377,856
  5. Step 5: Solve for x
    x = 281,946,968,721,377,856/495,362,807.40
  6. Step 6: Final answer
    x = 569,172,663.97

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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.