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Finding the Fourth Proportional to 209,968,295.90, 314,952,443.85 and 166,602,710.30

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Solution

The fourth proportional to 209,968,295.90, 314,952,443.85 and 166,602,710.30 is: 249,904,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968,295.90 : 314,952,443.85 = 166,602,710.30 : x
  2. Step 2: Convert to fraction form
    209,968,295.90/314,952,443.85 = 166,602,710.30/x
  3. Step 3: Cross multiply
    209,968,295.90x = 314,952,443.85 × 166,602,710.30
  4. Step 4: Simplify right side
    209,968,295.90x = 52,471,930,761,018,576
  5. Step 5: Solve for x
    x = 52,471,930,761,018,576/209,968,295.90
  6. Step 6: Final answer
    x = 249,904,065.45

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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.