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Finding the Fourth Proportional to 287,106.52, 430,544.46 and 118,652.68

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Solution

The fourth proportional to 287,106.52, 430,544.46 and 118,652.68 is: 177,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106.52 : 430,544.46 = 118,652.68 : x
  2. Step 2: Convert to fraction form
    287,106.52/430,544.46 = 118,652.68/x
  3. Step 3: Cross multiply
    287,106.52x = 430,544.46 × 118,652.68
  4. Step 4: Simplify right side
    287,106.52x = 51,085,254,038.15
  5. Step 5: Solve for x
    x = 51,085,254,038.15/287,106.52
  6. Step 6: Final answer
    x = 177,931.36

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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.