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Finding the Fourth Proportional to 287,159.68, 430,740.48 and 139,312

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Solution

The fourth proportional to 287,159.68, 430,740.48 and 139,312 is: 208,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,159.68 : 430,740.48 = 139,312 : x
  2. Step 2: Convert to fraction form
    287,159.68/430,740.48 = 139,312/x
  3. Step 3: Cross multiply
    287,159.68x = 430,740.48 × 139,312
  4. Step 4: Simplify right side
    287,159.68x = 60,007,317,749.76
  5. Step 5: Solve for x
    x = 60,007,317,749.76/287,159.68
  6. Step 6: Final answer
    x = 208,968.47

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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.