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Finding the Fourth Proportional to 570,841, 787,760.64 and 316,208.68

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Solution

The fourth proportional to 570,841, 787,760.64 and 316,208.68 is: 436,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,841 : 787,760.64 = 316,208.68 : x
  2. Step 2: Convert to fraction form
    570,841/787,760.64 = 316,208.68/x
  3. Step 3: Cross multiply
    570,841x = 787,760.64 × 316,208.68
  4. Step 4: Simplify right side
    570,841x = 249,096,752,130.36
  5. Step 5: Solve for x
    x = 249,096,752,130.36/570,841
  6. Step 6: Final answer
    x = 436,368.01

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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.