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Finding the Fourth Proportional to 314,930,709.80, 472,396,064.70 and 199,572,583.40

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Solution

The fourth proportional to 314,930,709.80, 472,396,064.70 and 199,572,583.40 is: 299,358,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,709.80 : 472,396,064.70 = 199,572,583.40 : x
  2. Step 2: Convert to fraction form
    314,930,709.80/472,396,064.70 = 199,572,583.40/x
  3. Step 3: Cross multiply
    314,930,709.80x = 472,396,064.70 × 199,572,583.40
  4. Step 4: Simplify right side
    314,930,709.80x = 94,277,303,020,172,544
  5. Step 5: Solve for x
    x = 94,277,303,020,172,544/314,930,709.80
  6. Step 6: Final answer
    x = 299,358,875.10

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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.