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Finding the Fourth Proportional to 647,368.46, 893,421.64 and 357,036.81

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Solution

The fourth proportional to 647,368.46, 893,421.64 and 357,036.81 is: 492,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,368.46 : 893,421.64 = 357,036.81 : x
  2. Step 2: Convert to fraction form
    647,368.46/893,421.64 = 357,036.81/x
  3. Step 3: Cross multiply
    647,368.46x = 893,421.64 × 357,036.81
  4. Step 4: Simplify right side
    647,368.46x = 318,984,412,330.57
  5. Step 5: Solve for x
    x = 318,984,412,330.57/647,368.46
  6. Step 6: Final answer
    x = 492,740.12

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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.