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Finding the Fourth Proportional to 200,438,117.40, 300,657,176.10 and 200,438,117.40

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Solution

The fourth proportional to 200,438,117.40, 300,657,176.10 and 200,438,117.40 is: 300,657,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438,117.40 : 300,657,176.10 = 200,438,117.40 : x
  2. Step 2: Convert to fraction form
    200,438,117.40/300,657,176.10 = 200,438,117.40/x
  3. Step 3: Cross multiply
    200,438,117.40x = 300,657,176.10 × 200,438,117.40
  4. Step 4: Simplify right side
    200,438,117.40x = 60,263,158,360,284,280
  5. Step 5: Solve for x
    x = 60,263,158,360,284,280/200,438,117.40
  6. Step 6: Final answer
    x = 300,657,176.10

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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.