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Finding the Fourth Proportional to 462,413.56, 638,111.10 and 290,421.40

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Solution

The fourth proportional to 462,413.56, 638,111.10 and 290,421.40 is: 400,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,413.56 : 638,111.10 = 290,421.40 : x
  2. Step 2: Convert to fraction form
    462,413.56/638,111.10 = 290,421.40/x
  3. Step 3: Cross multiply
    462,413.56x = 638,111.10 × 290,421.40
  4. Step 4: Simplify right side
    462,413.56x = 185,321,119,017.54
  5. Step 5: Solve for x
    x = 185,321,119,017.54/462,413.56
  6. Step 6: Final answer
    x = 400,769.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.