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Finding the Fourth Proportional to 326,602,854.80, 488,770,541.40 and 299,393,075.60

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Solution

The fourth proportional to 326,602,854.80, 488,770,541.40 and 299,393,075.60 is: 448,050,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,602,854.80 : 488,770,541.40 = 299,393,075.60 : x
  2. Step 2: Convert to fraction form
    326,602,854.80/488,770,541.40 = 299,393,075.60/x
  3. Step 3: Cross multiply
    326,602,854.80x = 488,770,541.40 × 299,393,075.60
  4. Step 4: Simplify right side
    326,602,854.80x = 146,334,515,652,423,136
  5. Step 5: Solve for x
    x = 146,334,515,652,423,136/326,602,854.80
  6. Step 6: Final answer
    x = 448,050,326.27

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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.