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Finding the Fourth Proportional to 657,698.80, 986,807.40 and 258,271.60

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Solution

The fourth proportional to 657,698.80, 986,807.40 and 258,271.60 is: 387,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,698.80 : 986,807.40 = 258,271.60 : x
  2. Step 2: Convert to fraction form
    657,698.80/986,807.40 = 258,271.60/x
  3. Step 3: Cross multiply
    657,698.80x = 986,807.40 × 258,271.60
  4. Step 4: Simplify right side
    657,698.80x = 254,864,326,089.84
  5. Step 5: Solve for x
    x = 254,864,326,089.84/657,698.80
  6. Step 6: Final answer
    x = 387,509.19

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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.