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Finding the Fourth Proportional to 249,709,794.66, 344,596,978.53 and 138,200,852.34

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Solution

The fourth proportional to 249,709,794.66, 344,596,978.53 and 138,200,852.34 is: 190,715,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,709,794.66 : 344,596,978.53 = 138,200,852.34 : x
  2. Step 2: Convert to fraction form
    249,709,794.66/344,596,978.53 = 138,200,852.34/x
  3. Step 3: Cross multiply
    249,709,794.66x = 344,596,978.53 × 138,200,852.34
  4. Step 4: Simplify right side
    249,709,794.66x = 47,623,596,146,634,680
  5. Step 5: Solve for x
    x = 47,623,596,146,634,680/249,709,794.66
  6. Step 6: Final answer
    x = 190,715,771.53

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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.