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Finding the Fourth Proportional to 315,712.80, 473,547.60 and 102,477.60

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Solution

The fourth proportional to 315,712.80, 473,547.60 and 102,477.60 is: 153,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,712.80 : 473,547.60 = 102,477.60 : x
  2. Step 2: Convert to fraction form
    315,712.80/473,547.60 = 102,477.60/x
  3. Step 3: Cross multiply
    315,712.80x = 473,547.60 × 102,477.60
  4. Step 4: Simplify right side
    315,712.80x = 48,528,021,533.76
  5. Step 5: Solve for x
    x = 48,528,021,533.76/315,712.80
  6. Step 6: Final answer
    x = 153,709.39

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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.