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Finding the Fourth Proportional to 570,428.40, 787,200.53 and 312,301.05

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Solution

The fourth proportional to 570,428.40, 787,200.53 and 312,301.05 is: 430,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,428.40 : 787,200.53 = 312,301.05 : x
  2. Step 2: Convert to fraction form
    570,428.40/787,200.53 = 312,301.05/x
  3. Step 3: Cross multiply
    570,428.40x = 787,200.53 × 312,301.05
  4. Step 4: Simplify right side
    570,428.40x = 245,843,547,566.05
  5. Step 5: Solve for x
    x = 245,843,547,566.05/570,428.40
  6. Step 6: Final answer
    x = 430,980.55

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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.