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Finding the Fourth Proportional to 570,509.42, 787,303.06 and 312,402.64

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Solution

The fourth proportional to 570,509.42, 787,303.06 and 312,402.64 is: 431,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,509.42 : 787,303.06 = 312,402.64 : x
  2. Step 2: Convert to fraction form
    570,509.42/787,303.06 = 312,402.64/x
  3. Step 3: Cross multiply
    570,509.42x = 787,303.06 × 312,402.64
  4. Step 4: Simplify right side
    570,509.42x = 245,955,552,862.07
  5. Step 5: Solve for x
    x = 245,955,552,862.07/570,509.42
  6. Step 6: Final answer
    x = 431,115.67

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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.