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Finding the Fourth Proportional to 418,413.02, 627,886.83 and 152,148.20

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Solution

The fourth proportional to 418,413.02, 627,886.83 and 152,148.20 is: 228,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,413.02 : 627,886.83 = 152,148.20 : x
  2. Step 2: Convert to fraction form
    418,413.02/627,886.83 = 152,148.20/x
  3. Step 3: Cross multiply
    418,413.02x = 627,886.83 × 152,148.20
  4. Step 4: Simplify right side
    418,413.02x = 95,531,850,988.21
  5. Step 5: Solve for x
    x = 95,531,850,988.21/418,413.02
  6. Step 6: Final answer
    x = 228,319.50

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1.5x scale

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.