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Finding the Fourth Proportional to 423,115,430.40, 634,673,145.60 and 423,115,430.40

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Solution

The fourth proportional to 423,115,430.40, 634,673,145.60 and 423,115,430.40 is: 634,673,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,115,430.40 : 634,673,145.60 = 423,115,430.40 : x
  2. Step 2: Convert to fraction form
    423,115,430.40/634,673,145.60 = 423,115,430.40/x
  3. Step 3: Cross multiply
    423,115,430.40x = 634,673,145.60 × 423,115,430.40
  4. Step 4: Simplify right side
    423,115,430.40x = 268,540,001,163,865,856
  5. Step 5: Solve for x
    x = 268,540,001,163,865,856/423,115,430.40
  6. Step 6: Final answer
    x = 634,673,145.60

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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.