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Finding the Fourth Proportional to 288,685,792.60, 433,028,688.90 and 286,134,875.80

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Solution

The fourth proportional to 288,685,792.60, 433,028,688.90 and 286,134,875.80 is: 429,202,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,685,792.60 : 433,028,688.90 = 286,134,875.80 : x
  2. Step 2: Convert to fraction form
    288,685,792.60/433,028,688.90 = 286,134,875.80/x
  3. Step 3: Cross multiply
    288,685,792.60x = 433,028,688.90 × 286,134,875.80
  4. Step 4: Simplify right side
    288,685,792.60x = 123,904,610,116,238,336
  5. Step 5: Solve for x
    x = 123,904,610,116,238,336/288,685,792.60
  6. Step 6: Final answer
    x = 429,202,313.70

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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.