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Finding the Fourth Proportional to 301,805,999.70, 452,708,999.55 and 287,457,092.70

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Solution

The fourth proportional to 301,805,999.70, 452,708,999.55 and 287,457,092.70 is: 431,185,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,805,999.70 : 452,708,999.55 = 287,457,092.70 : x
  2. Step 2: Convert to fraction form
    301,805,999.70/452,708,999.55 = 287,457,092.70/x
  3. Step 3: Cross multiply
    301,805,999.70x = 452,708,999.55 × 287,457,092.70
  4. Step 4: Simplify right side
    301,805,999.70x = 130,134,412,849,768,608
  5. Step 5: Solve for x
    x = 130,134,412,849,768,608/301,805,999.70
  6. Step 6: Final answer
    x = 431,185,639.05

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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.