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Finding the Fourth Proportional to 700,413.16, 966,574.06 and 398,607.16

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Solution

The fourth proportional to 700,413.16, 966,574.06 and 398,607.16 is: 550,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,413.16 : 966,574.06 = 398,607.16 : x
  2. Step 2: Convert to fraction form
    700,413.16/966,574.06 = 398,607.16/x
  3. Step 3: Cross multiply
    700,413.16x = 966,574.06 × 398,607.16
  4. Step 4: Simplify right side
    700,413.16x = 385,283,340,986.27
  5. Step 5: Solve for x
    x = 385,283,340,986.27/700,413.16
  6. Step 6: Final answer
    x = 550,080.10

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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.