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Finding the Fourth Proportional to 461,946, 637,485.80 and 249,978

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Solution

The fourth proportional to 461,946, 637,485.80 and 249,978 is: 344,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,946 : 637,485.80 = 249,978 : x
  2. Step 2: Convert to fraction form
    461,946/637,485.80 = 249,978/x
  3. Step 3: Cross multiply
    461,946x = 637,485.80 × 249,978
  4. Step 4: Simplify right side
    461,946x = 159,357,425,312.40
  5. Step 5: Solve for x
    x = 159,357,425,312.40/461,946
  6. Step 6: Final answer
    x = 344,969.81

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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.