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Finding the Fourth Proportional to 708,907.48, 978,253.30 and 402,941.32

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Solution

The fourth proportional to 708,907.48, 978,253.30 and 402,941.32 is: 556,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,907.48 : 978,253.30 = 402,941.32 : x
  2. Step 2: Convert to fraction form
    708,907.48/978,253.30 = 402,941.32/x
  3. Step 3: Cross multiply
    708,907.48x = 978,253.30 × 402,941.32
  4. Step 4: Simplify right side
    708,907.48x = 394,178,674,054.40
  5. Step 5: Solve for x
    x = 394,178,674,054.40/708,907.48
  6. Step 6: Final answer
    x = 556,036.84

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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.